On the VHS of Clemens manifolds


Tsung-Ju Lee (Harvard University, USA)
2021-08-25 10:00 - 11:30
Room 201, Astronomy and Mathematics Building

In 1985, Clemens gave a construction of compact complex manifolds of dimension three with trivial canonical bundle; these manifolds are possibly non-Kahler. Recently, Friedman proved that a general Clemens manifold admits the so-called ddbar lemma. Consequently, it admits a Hodge decomposition into (p,q)-types. In this talk, I will talk about VHS of general Clemens manifolds. I will also discuss some possible directions toward the finite distance problem if time permits.